The slope of a line that is perpendicular to line m is -3/5
The equation of the line is given as:
5x - 3y = 2
Subtract 5x from both sides of the equation
-3y = -5x + 2
Divide both sides by -3
y = 5/3x - 2/3
A linear equation is represented as:
y = mx + b
Where m represents the slope
By comparison;
m = 5/3
So, the slope of the equation is 5/3
Let the slope of the perpendicular line be m2.
For perpendicular lines, we have:
m2 = -1/m
This gives
m2 = -1/(5/3)
Evaluate
m2 = -3/5
Hence, the slope of a line that is perpendicular to line m is -3/5
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